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compact; countably compact; absolutely countably compact; hereditarily absolutely countably compact; topological group

References:

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[10] Vaughan J.E.: **A countably compact, separable space which is not absolutely countably compact**. Comment. Math. Univ. Carolinae 34 (1995), 197-200. MR 1334426 | Zbl 0833.54012

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[12] Vaughan J.E.: **Countably Compact and Sequentially Compact Spaces**. Handbook of Set-theoertic Topology K. Kunen and J.E. Vaughan North-Holland Amsterdam (1984), 569-602. MR 0776631 | Zbl 0562.54031